Pith Number

pith:MHLCYCHV

pith:2023:MHLCYCHVWT3SFQELXQMXFZDH4M

not attested not anchored not stored refs pending

Canonical Ensemble vs. Grand Canonical Ensemble in the Description of Multicomponent Bosonic Systems

D. Anchishkin, D. Zhuravel, H. Stoecker, I. Mishustin, V. Gnatovskyy, V. Karpenko

arxiv:2307.08518 v2 · 2023-07-17 · nucl-th · hep-ph · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHLCYCHVWT3SFQELXQMXFZDH4M}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Ideal Boson Particle-Antiparticle System at Finite Temperatures

Receipt and verification

First computed	2026-07-05T07:15:57.540760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61d62c08f5b4f722c08bbc1972e467e3057483a2859391489c0056cd64321dca

Aliases

arxiv: 2307.08518 · arxiv_version: 2307.08518v2 · doi: 10.48550/arxiv.2307.08518 · pith_short_12: MHLCYCHVWT3S · pith_short_16: MHLCYCHVWT3SFQEL · pith_short_8: MHLCYCHV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MHLCYCHVWT3SFQELXQMXFZDH4M \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 61d62c08f5b4f722c08bbc1972e467e3057483a2859391489c0056cd64321dca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90d4327dc5cd701cfde11a13c54320f2406613689643d0ac4ae535c5e9588750",
    "cross_cats_sorted": [
      "hep-ph",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2023-07-17T14:27:26Z",
    "title_canon_sha256": "0cdb60c77196d85526a5c775d9fe74a17be336fcb5a9759767e53e8eb024204f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.08518",
    "kind": "arxiv",
    "version": 2
  }
}